Can someone please help? f(x) = |x − 2| − 4 and g(x) = 1/2x − 2 solve algebraically for x.

Answers

Answer 1

Answer:

x = 8, x = 0   intercepts: (8,2) (0,-2)

Step-by-step explanation:

|x − 2| is a positive value, x can be x ≥ 2 or x ≤ 2

when x≥2, then

y = x-2-4 =x-6  and y = 1/2x - 2

x-6 = 1/2x-2

1/2x=4

x = 8

When x≤2

y = -(x-2)-4 = -x - 2

y = 1/2x - 2

-x - 2 = 1/2x - 2

x = 0


Related Questions

The paperweight is shaped like a square pyramid. The volume of the pyramid is 48 in. If the area of the base is 36 in?, what is the height of the pyramid?​

Answers

Given:

Volume of a square base pyramid = 48 cubic inches.

Area of base = 36 sq. inches.

To find:

The height of the pyramid.

Solution:

Volume of a pyramid is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the pyramid.

Putting V=48 and B=36, we get

[tex]48=\dfrac{1}{3}(36)h[/tex]

[tex]48=12h[/tex]

[tex]\dfrac{48}{12}=h[/tex]

[tex]4=h[/tex]

Therefore, the height of the pyramid is 4 inches.

please please please help i am desperate
‼️WILL MARK BRAINLIEST‼️
20 POINTS





1. Find the distance from Alanah's house to Mia's house. Show your work.



2. What is the distance from Mia's house to Teresa's house? Explain how you found this distance.



3. Find the distance from Teresa's house to the arena. Show your work.



4. What is the total distance of Alanah's trip to the arena?

Answers

Mia's house is located at point (3, 2) on a coordinate plane. I don't know 2,3,4. :(

Yesterday the temperature was 11 degrees Celsius. Today the temperature is O degrees Celsius What is the change in temperature from yesterday to today?​

Answers

Answer: 11 degrees Celsius

Step-by-step explanation:

find the unit rate and show work
289 miles on 10 gallons​

Answers

Answer:

28.9 miles per gallon

Step-by-step explanation:

unit rate is usually something per something. Like miles per hour. In this case we have mile per gallon. MPG.

Unit rate is basically A number X per 1 of something.

so in this cares X per gallon.

we want 10 gallons to go to 1 gallon. So we divide by 10 to get to 1. But if we divide by 10 on one side, we have to do it to the other side. so 289/10=28.9

so our final answer is:

28.9 miles per gallon

A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T with respect to time t is proportional to the difference between the egg’s temperature in degrees Fahrenheit ( °F) and the room temperature of 75°F. Which of the following is a differential equation that describes this relationship, where k is a constant?

Answers

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.

In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

Learn more about Newton's law of cooling:https://brainly.com/question/15574522

This is the whole picture can someone help??

Answers

Step-by-step explanation:

I can't see good the picture

find the distance between u and v in the coordinate plane​
options
A) 2 square root of 2 units
B) 4 square root of 13 units
C) 2 square root of 17 units
D) 2 square root of 37 units

Answers

Hi! Your answer is D explain below!

Triangle X has m2A = 30°, mZB = 90°, and m2C = 60° with side lengths of AB = 3, BC = 4, AC = 5.
Triangle Y has m2A = 30°, mZB = 90°, and mZC = 60' with side lengths of AB = 9, BC = 12, AC = 15.
Which statement best describes the relationship between these two triangles?
O They are similar triangles.
O They are similar and congruent triangles.
O They are congruent triangles.
O They are congruent but not similar triangles.

Answers

Answer:

O They are similar triangles.

Step-by-step explanation:

Given

Triangle X

[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°,  [tex]\angle C = 60[/tex]°

[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]

Triangle Y

[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°,  [tex]\angle C = 60[/tex]°

[tex]AB = 9,\ BC = 12,\ AC = 15.[/tex]

Required

The relationship between X and Y

From the given parameters, the corresponding angles of both triangles are equal i.e.

A = A, B = B and C = C

However, the side lengths are not equal.

The side lengths of Y is 3 multiplied by the side lengths of X.

This is shown below:

Triangle X

[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]

Multiply by 2 to get Triangle Y

[tex]AB= 3 * 3 = 9[/tex]

[tex]BC= 4 * 3 = 12[/tex]

[tex]AC = 5 * 3 = 15[/tex]

Since side lengths are not equal, but they have a common ratio of 3, then the triangles are similar.

Please help me with this

Answers

Answer:

90,45,45

Step-by-step explanation:

it a system of equations

say that x y and z are each angles of the triangle

that means that they add up to 180 so x+y+z=180

the question says that two of the angles in the triangle are equal so we can just say that x=y

and it says that the two angles that are the same length have a sum that is equal to the third side of the triangle which basically is x+y=z

x+y+z=180

x+y=z

x=y

we start with the first two equations:

since x+y=z then we can substitute z in for x+y in the first equation

z+z=180

2z=180

z=90

and since x=y then

x+x=z

2x=90

x=45

y=45

z=90

hope that helps :)

Please mark brainliest

hey yall one more

y-(-99)=4

find x please

Answers

Answer:

67766788786686

Step-by-step explanation:

86686868686867

Answer:

-95

Step-by-step explanation:

what is the solution to these equations y= 2x +1 and x +2y= 27

Answers

Answer:

The first one is -1/2

the second one is x+2y-27=0

Mindy is playing a game. She notices that the ratio of red tokens to purple tokens is 2 to 3. She counts 6 red tokens. what can be the number of purple tokens.

Answers

The number of purple tokens she has is 4

Answer:

6

Step-by-step explanation:

double numbers for ecquivelant ratios (i cant spell)

which shape is not a trapezoid

Answers

Answer:

trapezium

If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.

Step-by-step explanation:

7-3/7 what is the answer plz help me

Answers

Answer:

6.571429, it can also be written as 46/7

PLEASE WHAT IS THE AREA OF THIS HELP ME PLEASE

Answers

Answer:

it should be 14,580 m^2

(the ^2 means squared btw)

PLEASE HELPPPP
You need to seed a 4,000 feet area. If an 8 lb bag of seed that costs $10.79 covers 1,200 square feet, how much will the seed cost?​

Answers

10.79/1200=.009
.009*1200=10.79 this is a double check to make sure our price per square foot is correct.

.009*4000=$36.00

It will cost $36.00 to seed the 4,000 square feet at that price.

Please help with these 2 math problems. ( Multiple choice) im begging. Please don't just do it for points I really need help

Answers

the first one and A and the second one is c

What is 4 superscript 5 written in expanded form?
4 + 4 + 4 + 4 + 4
4 times 4 times 4 times 4 times 4
5 + 5 + 5 + 5
5 times 5 times 5 times 5

Answers

Answer:

4 times 4 times 4 times 4 times 4

Step-by-step explanation:

4 is the base number and you have to times the base number 5 times

Answer:

The person above me ^^ Is correct! The answer is B :) GL!!!

Step-by-step explanation:

A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39.5 inches 19.7 inches 15.5 inches 9.9 inches​

Answers

Answer:

19.7

Step-by-step explanation:

Answer:

19.7

Step-by-step explanation:

PLATO: Multiplying and Dividing Radical Equations: Mastery Test

Select the correct answer.

Assuming that no denominator equals zero, which expression is equivalent to (n^2-7n+12)/(n-3)(n+4)

Answers

Answer:

D

Step-by-step explanation:

took the test

The expression is equivalent to (n² - 7n + 12) is (n-4)/ (n+4).

The correct option is D.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

(n² - 7n + 12) / (n-3)(n+4)

So, Factorizing (n² - 7n + 12)  

= (n² -3n - 4n +12)

= n(n-3)- 4(n-3)

= (n-3)(n-4)

Then, (n² - 7n + 12) / (n-3)(n+4)

= (n-3)(n-4)/ (n-3)(n+4)

= (n-4)/ (n+4)

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ7

Which fraction are equivalent to 4/9

Answers

Answer:

4/9           8/18          36/81

Step-by-step explanation:

<( ̄︶ ̄)>

Bobbie invested $140 from her birthday money. She earned a simple interest of 3% per year on
her investment. What was the amount of interest Bobbie received at the end of two years?

Answers

Answer:

bobbie recieved the interest of $8.40 per year

Step-by-step explanation:

140 x .03 = $4.20

$4.20 per year

2 x 4.20 = 8.40

Vashti and Stacy measure the width of the gym at their school. It is 17 yards wide.
[Hint: There are 36 inches in 1 yard.]
Part A
column first. Vashti writes the partial
3 by the tens column first.
Stacy is finding the width of the gym, in inches, by adding the partial products of
17 x 36. She finds three of the partial products. Which statement explains
the partial product Stacy is missing?
Which explanation correctly describe
the same or different?
Width of the gym = 42 + 60 + 300+?
Stacy and Vashti's products w
products can be added in any
Stacy is missing the partial product, 21, because she still needs to find
3 ones x 7 ones.
Stacy and Vashti's products we
products have to be multiplied
factors in the wrong order, so s
Vashti.
Stacy is missing the partial product, 210, because she still needs to
find 3 tens x 7 ones.
Stacy is missing the partial product, 600, because she still needs to
find 6 tens x 1 ten
Stacy and Vashti's products wo
products have to be multiplied f
factors in the wrong order, sos!
Stacy
3
5

Answers

.................................

(15 points!!) Valerie is making fruit salad using strawberries and melons. The ratio of strawberries to melons is 3:4. If Valerie makes 14 cups of fruit for a party, how many cups of strawberries does she use?

Answers

I’m not really sure, but I think she used 8 strawberries. I’ll explain why I think that in the comments later I have to do something real fast

The ratio shows how many times one value is contained in another value.

The number of cups of strawberries Valerie used is 6 cups.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of strawberries to melons is 3:4.

Let us consider,

Strawberries = 3x

Melons = 4x

Now,

A total of 14 cups of fruit were made.

This means,

14 = 3x + 4x

14 = 7x

x = 2

Now,

The number of cups of strawberries is 3x.

3x = 3 x 2 = 6 cups

The number of cups of melons is 4x.

4x = 4 x 2 = 8 cups.

We see that,

6 cups + 8 cups = 14 cups.

Thus,

The number of cups of strawberries Valerie used is 6 cups.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

The model represents the factorization of 2x2+5x+3.


What are the factors of the polynomial?

Answers

Answer:

(2x+3)(x+1)

Step-by-step explanation:

PLEASE HELL ME BECAUSE I DONT UNDERSTAND

Answers

Answer:

B. 5/3

Step-by-step explanation:

Take out the fourth root by doing 20/4 = 5. Then take out the third root by doing 5/3 so your answer is 5/3

Answer:

Answer = 5/3

Step-by-step explanation:

We simplify the squareroot to become ((x-5)^20)^1/12. Simplifying this further will get us (x-5)^5/3. We know that "b" is the exponent on (x-5), therefore the answer is 5/3.

F(x) = 4x identify the zeros of the function algebraically

Answers

JESUS LOVES YOU✝️. TURN AWAY FROM YOUR SINS AND START LIVING FOR JESUS. JESUS DIED FOR YOU.

2) Christmas is on its way, so the price of a box of Thornton's chocolates has been increased
by 15%!! A box of Thornton's Continental now costs £17.25. How much did it cost
originally?

Answers

15% as a decimal is 0.15
Our regular cost of chocolates is 1.0
New cost is 1.0 + 0.15 = 1.15
1.15 x 17.25 = 19.8375
In the states we round to the hundredth for cost, so it would be £19.84

Alternate method: calculate 0.15 of 17.25 and add that to 17.25
0.15 x 17.25 = 2.5875
17.25 + 2.5875 = 19.8375

may someone please help? also I hope everyone has been doing amazing​

Answers

(A) perpendicular bisector of FH
(B) except median of XYZ
Another one apply


Hope it helps!

Use the diagram to find the missing measures.


The measure of angle GHE is
62
°.

The length of GE is
.

Answers

Answer:

62

15

Step-by-step explanation:

sorry i’m a bit late

Answer:62

And 15

Step-by-step explanation:

Yea its good :)

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